Free Printable GeoH LIA Final Review

1.

Two angles with a sum of 90 degrees

a)

Supplementary

b)

Complementary

c)

Right

d)

Vertical

2.

Angles whose measure sum up to 180 degrees.

a)

Vertical

b)

Adjacent

c)

Complementary

d)

Supplementary

3.

Find the supplementary angle for 104 degrees...

a)

70 degrees

b)

74 degrees

c)

76 degrees

4.

What is an example of a pair of complementary angles?

a)

13° and 45°

b)

10° and 170°

c)

81° and 9°

d)

90° and 90°

5.

Name the vertical angle to
∠h.

a)

∠f

b)

∠i

c)

∠g

d)

∠j

6.

What angle is adjacent and supplementary to angle 5?

a)

∠4

b)

∠1

c)

∠3

d)

∠2

7.

Adjacent angles share a side and a ____

a)

vertex

b)

ray

c)

geometry

d)

variable

8.

Vertical angles have the same ____

a)

hypotenuse

b)

smell

c)

angle measure

d)

learning target

9.

What is the angle relationship between

angles 1 and 2 ?

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Supplementary

10.

What is the angle relationship between

angles 1 and 3 ?

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Vertical

11.

What is the angle relationship between

angles 1 and 5 ?

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Vertical

12.

What is the angle relationship between

angles 1 and 7 ?

a)

Corresponding

b)

Alternate Interior

c)

Alternate Exterior

d)

Same Side Exterior

(Supplementary)

13.

What is the vertex of this angle?

a)

S

b)

T

c)

U

d)

V

14.

What are vertical angles?

a)

Angles that are adjacent to each other

b)

Angles that add up to 180°

c)

Angles that are opposite of each other when lines intersect

d)

Angles that add up to 90°

15.

What is the midpoint of the line segment connecting (-2, 6) and (4, 14)?

a)

(1, 4)

b)

(3, 10)

c)

(1, 10)

d)

(2, 8)

16.

Find the other endpoint of the line segment with the given endpoint (1,-9) and midpoint (-9,3)

a)

(-19,15)

b)

(5,-6)

c)

(-4,-3)

d)

(6,2)

17.

Solve for x

a)

x = 2

b)

x = 4

c)

x = 6

d)

x = 8

18.

Which of the following is the correct midpoint formula given two endpoints (x₁, y₁) and (x₂, y₂)?

a)

b)

c)

d)

19.

Find the distance between ( 1, 3) and (5, 6)

a)

3

b)

4

c)

5

d)

6

20.

Which of the following formulas is the distance formula?

a)

$\left(\frac{x_1+x_2}{2},\ \frac{y_1+y_2}{2}\right)$

b)

$\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

c)

$a^2+b^2=c^2$

d)

$\frac{y_2-y_1}{x_2-x_1}$

21.

What is the length of DC

a)

4

b)

1

c)

2

d)

3

22.

Find the length of AD

a)

2

b)

4

c)

6

d)

8

23.

Fill in the blank:

A perpendicular bisector is perpendicular to and passing through the ___________________ of a segment.

a)

endpoint

b)

corner

c)

midpoint

d)

side

24.

A ray that divides an angle into two congruent angles is called .............

a)

perpendicular bisector

b)

angle bisector

c)

vertex

d)

divider

25.

Which two angles are the remote interior angles to Angle W?

a)

Angle X and Angle Y

b)

Angle X and Angle Z

c)

Angle Y and Angle Z

d)

Angle Z and Angle W

26.

Set up an equation to find x.

a)

42 + 8x = 2 + 12x

b)

2 + 12x + 42 = 8x

c)

42 + 8x + 2 + 12x = 180

d)

42 + 8x = 180

27.

In a triangle, what is the sum of the measures of the interior angles?

a)

100%

b)

180 degrees

c)

it varies

d)

360 degrees

28.

Find the measure of the indicated angle.

a)

38 degrees

b)

43 degrees

c)

22 degrees

d)

76 degrees

29.

9. Which of these lengths CANNOT represent the sides of a triangle?

a)

32, 34, 60

b)

28, 30, 58

c)

13, 20, 27

d)

2, 4, 5

30.

In triangle ABC, the length of side AB is 10 inches and the length of side BC is 17 inches. Which of the following could be the length of side AC?

a)

16 inches

b)

5 inches

c)

32 inches

d)

29 inches

31.

side lengths of 4,4,4 form a triangle

a)

True

b)

False

32.

If the longest side of the triangle was 10. Then the two shorter sides must have a sum that is ....?

a)

any length

b)

equal to 10

c)

greater than 10

d)

less than 10

33.

Which set of numbers may represent the lengths of the sides of a triangle?

a)

{2,5,9}

b)

{6,6,7}

c)

{6,4,2}

d)

{7,8,1}

34.

Solve for x.

a)

72^o

b)

144^o

c)

46^o

d)

36^o

35.

Which would be the best classification for the triangle shown?

a)

acute isosceles

b)

right scalene

c)

acute scalene

d)

obtuse scalene

36.

In an ______________ triangle, all three angles are less than 90 degrees.

a)

acute

b)

right

c)

obtuse

d)

360 degrees

37.

In a ____________ triangle one angle is exactly 90 degrees.

a)

acute

b)

right

c)

obtuse

d)

360 degrees

38.

In an ___________ triangle one angle is greater than 90 degrees.

a)

acute

b)

right

c)

obtuse

d)

360 degrees

39.

Look at the sides and angles of this triangle. Which type of triangle is pictured?

a)

Equilateral Triangle

b)

Right Isosceles Triangle

c)

Obtuse Scalene Triangle

d)

Obtuse Equilateral Triangle

40.

Which side is the longest in ΔEFG

a)

$\overline{EF}$

b)

$\overline{FG}$

c)

$\overline{GE}$

41.

List the angles in order from BIGGEST to SMALLEST.

a)

$\angle J,\ \angle K,\ \angle L$

b)

$\angle K,\ \angle L,\ \angle J$

c)

$\angle J,\ \angle L,\ \angle K$

d)

$\angle L,\ \angle J,\ \angle K$

e)

$\angle L,\ \angle K,\ \angle J$

42.

What is the formula for the sum of interior angles in a polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

43.

What is the formula for the sum of exterior angles in a polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

44.

What is the formula for a particular interior angle in a regular polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

45.

What is the formula for a particular exterior angle in a regular polygon?

a)

180(n−2)

b)

180(n−2)÷n

c)

360

d)

360/n

46.

What is the sum of interior angles for a pentagon?

a)

900

b)

540

c)

360

d)

108

47.

What is the measure of a single interior angle for a regular pentagon?

a)

900

b)

540

c)

360

d)

108

48.

If an exterior angle of a regular polygon has a measure of 36 degrees, how many sides does it have?

a)

10

b)

3

c)

7

d)

11

49.

What is the measure of a single interior angle for a regular octagon?

a)

1440

b)

1080

c)

1800

d)

135

50.

Find the missing length.

a)

x = 12

b)

x = 11

c)

x = 15

d)

x = 9

51.

What is the measure of angle Y?

a)

60

b)

40

c)

140

d)

100

52.

What is the measure of angle a?

a)

50

b)

80

c)

130

d)

Cannot Determine

53.

Complete the statement, the midsegment of a triangle is half the length of the ___ ____ to it.

a)

angle oppostie

b)

side perpendicular

c)

side parallel

d)

incenter point

54.

Find the missing length.

a)

x = 8

b)

x = 11

c)

x = 7

d)

x = 9

55.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

56.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

57.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

58.

Name the segment/line/ray shown in the picture.

a)

Perpendicular Bisector

b)

Angle Bisector

c)

Median

d)

Altitude

59.

The three altitudes of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

60.

The three medians of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

61.

The three perpendicular bisectors of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

62.

The three angle bisectors of a triangle intersect at the_______________.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

63.

It divides each median into two sections at a 2:1 ratio.

a)

circumcenter

b)

incenter

c)

centroid

d)

orthocenter

64.

If G is the centroid of triangle ABC and GF= 4. Find the length of GC.

a)

4

b)

8

c)

12

d)

Not Enough Information

65.

If G is the centroid of triangle ABC and GE= 7. Find the length of BE.

a)

7

b)

14

c)

21

d)

Not Enough Informaion

66.

The three medians of a triangle intersect at?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

67.

The three perpendicular bisectors of a triangle intersect at the?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

68.

The three angle bisectors of a triangle intersect at the?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

69.

The three altitudes of a triangle intersect at the?

a)

Circumcenter

b)

Incenter

c)

Centroid

d)

Orthocenter

70.

Is segment AB a median, altitude, neither or both?

a)

median

b)

altitude

c)

neither

d)

both

71.

Clue: This quadrilateral is a parallelogram with congruent sides and four right angles.

a)

Rectangle

b)

Square

72.

Clue: This quadrilateral is a parallelogram with congruent sides and four right angles.

a)

Rectangle

b)

Square

73.

Clue: This quadrilateral is a parallelogram with four right angles.

a)

Rectangle

b)

Rhombus

74.

True or False: A rectangle is a special kind of parallelogram that has four right angles and its opposite side lengths are congruent.

a)

True

b)

False

75.

True or False: A rhombus is NOT a parallelogram.

a)

True

b)

False

76.

Diagonals Bisect each other. (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

77.

Opposite angles are supplementary (Click all that apply)

a)

Parallelogram

b)

Rectangle

c)

Rhombus

d)

Square

78.

Which of the following is not a property of a rhombus?

a)

Diagonals bisect corner angles

b)

Diagonals are perpendicular

c)

4 right angles

d)

4 congruent sides

79.

Rhombus: Find the measure of ∠2:

a)

59°

b)

45°

c)

118°

d)

90°

80.

The diagonals of rectangle ABCD intersect at E. AE = x + 4 and CE = 3x - 12. Find BD.

a)

8

b)

12

c)

16

d)

24

81.

In rhombus ABCD, m∠ECB = 5a+4 and m∠EBC = 8a - 5.Find m∠EBC.

a)

39

b)

43

c)

47

d)

51

82.

All squares are rectangles.

a)

True

b)

False

83.

Opposite sides of parallelograms are _______ and _______.

a)

parallel

congruent

b)

congruent

consecutive

c)

parallel

perpendicular

d)

parallel

supplementary

84.

______ angles of parallelograms are congruent.

a)

Consecutive

b)

Opposite

c)

parallel

d)

diagonal

85.

Consecutive angles of parallelograms are ______.

a)

bisected

b)

congruent

c)

supplementary

d)

complementary

86.

The diagonals of a parallelogram _______ each other.

a)

bisect

b)

equal

c)

are perpendicular to

d)

complement

87.

All the angles in a rectangle are _____ angles.

a)

acute

b)

right

c)

obtuse

d)

bisected

88.

The _____ in a rectangle are congruent.

a)

consecutive sides

b)

diagonals

89.

All the _____ in a rhombus are congruent.

a)

diagonals

b)

angles

c)

sides

90.

A ____ is a rhombus with right angles.

a)

kite

b)

parallelogram

c)

rectangle

d)

square

91.

Which quadrilaterals have perpendicular consecutive sides?

a)

All Parallelograms

b)

Rectangles and Squares

c)

Rhombi and Squares

92.

Which quadrilaterals have perpendicular diagonals?

a)

All parallelograms

b)

Rectangles and Squares

c)

Rhombi and Squares

93.

All figures given are parallelograms EXCEPT for?

a)

b)

c)

d)

GeoH LIA Final Review

Total questions: 93

Worksheet time: 2hrs 17mins

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